Eos Neuroscience (United States)

Simple critical zeros in short intervals: stability, pressure, and parity

We study proportions of simple and distinct nontrivial zeros of the Riemann zeta function in short intervals. The finite stable Hilbert rank-trace method and Wang's fixed-test short-interval input are retained with their stated assumptions. An odd-multiplicity parity transfer com...

The first interior shell of the Bougard-Joret extremal problem

Version 0.02 proves the entire admissible first interior shell: for every integer k at least 3 and every independence number a from 2 through k+1, the minimum size of a k-connected graph of order a+k+1 and independence number a is ceiling(k(a+k+1)/2). The construction combines cl...

Quantifying Fire Behavior Prediction Uncertainty Associated with User-Defined Variables in WFDS

Coupled fire–atmosphere models (CFAMs) are increasingly proposed as an important tool for investigating a range of scientific and management questions, including the design of fuel management strategies. Uncertainty in CFAM outputs arises from environmental and fuel inputs, and a...